English

Rescaled Pure Greedy Algorithm for Hilbert and Banach Spaces

Numerical Analysis 2015-05-15 v1

Abstract

We show that a very simple modification of the Pure Greedy Algorithm for approximating functions by sparse sums from a dictionary in a Hilbert or more generally a Banach space has optimal convergence rates on the class of convex combinations of dictionary elements

Keywords

Cite

@article{arxiv.1505.03604,
  title  = {Rescaled Pure Greedy Algorithm for Hilbert and Banach Spaces},
  author = {Guergana Petrova},
  journal= {arXiv preprint arXiv:1505.03604},
  year   = {2015}
}
R2 v1 2026-06-22T09:33:57.707Z